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NemiM [27]
3 years ago
7

Find the equation of the circle with the given characteristics. Center: (−2, 1) Radius: 2 The solution is

Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0
The format for the equation of a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is your center and r is your radius. All we have to do is substitute the correct values, giving us the equation (x+2)^2+(y-1)^2=4

:)
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iragen [17]

Answer: I think 13

Step-by-step explanation:

5 0
3 years ago
The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown.
omeli [17]

Answer:

The area of one trapezoidal face of the figure is 2 square inches

Step-by-step explanation:

<u><em>The complete question is</em></u>

The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown. What is the area of one trapezoidal face of the figure?

we know that

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A=\frac{1}{2}(b_1+b_2)h

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we have

h=1\ in\\b_1=1\ in\\b_2=3\ in

substitute the given values in the formula

A=\frac{1}{2}(1+3)(1)

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8 0
3 years ago
Read 2 more answers
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zavuch27 [327]
Check the picture below.

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because the hyperbola opens vertically, the fraction with the positive sign will be the one with the "y" in it, like you see it in the picture, so without further adieu,

\bf \textit{hyperbolas, vertical traverse axis }&#10;\\\\&#10;\cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1&#10;\qquad &#10;\begin{cases}&#10;center\ ( h, k)\\&#10;vertices\ ( h,  k\pm a)\\&#10;c=\textit{distance from}\\&#10;\qquad \textit{center to foci}\\&#10;\qquad \sqrt{ a ^2 + b ^2}\\&#10;asymptotes\quad  y= k\pm \cfrac{a}{b}(x- h)&#10;\end{cases}\\\\&#10;-------------------------------

\bf \begin{cases}&#10;h=2\\&#10;k=-3\\&#10;a=6\\&#10;c=2\sqrt{10}&#10;\end{cases}\implies \cfrac{[y- (-3)]^2}{ 6^2}-\cfrac{(x- 2)^2}{ b^2}=1&#10;\\\\\\&#10;\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ b^2}=1&#10;\\\\\\&#10;c^2=a^2+b^2\implies (2\sqrt{10})^2=6^2+b^2\implies 2^2(\sqrt{10})^2=36+b^2&#10;\\\\\\&#10;4(10)=36+b^2\implies 40=36+b^2\implies 4=b^2&#10;\\\\\\&#10;\sqrt{4}=b\implies 2=b\\\\&#10;-------------------------------\\\\&#10;\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 2^2}=1\implies \cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 4}=1

3 0
3 years ago
Help please 100 brainlest
Ksju [112]

Answer:

friday

Step-by-step explanation:

8th day will be monday

then 32 nd will be monday.

so 36th is friday

7 0
2 years ago
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scoray [572]
The answer is 

tan42 = x / 5, so x =  5 <span>tan42 = 4.5
the answer is </span><span>4.5</span>
4 0
3 years ago
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